Generalized Hydrodynamics and Analysis of Current Correlation Functions

1971 ◽  
Vol 4 (4) ◽  
pp. 1616-1625 ◽  
Author(s):  
Narinder K. Ailawadi ◽  
Aneesur Rahman ◽  
Robert Zwanzig
Keyword(s):  
Correlation Functions ◽  
Generalized Hydrodynamics ◽  
Current Correlation

scholarly journals Generalized hydrodynamics regime from the thermodynamic bootstrap program

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Axel Cortes Cubero ◽  
Milosz Panfil
Keyword(s):  
Energy Density ◽  
Correlation Functions ◽  
Form Factors ◽  
Finite Energy ◽  
Axiomatic Approach ◽  
Field Theories ◽  
Relativistic Field ◽  
Generalized Hydrodynamics ◽  
Quantum Integrable Models ◽  
Integrable Field

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the GHD.

scholarly journals Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 527 ◽  
Author(s):  
Bogdan R. Bułka ◽  
Jakub Łuczak
Keyword(s):  
Correlation Functions ◽  
Quantum Interference ◽  
Cross Correlation ◽  
Destructive Interference ◽  
Quantum Interference Effect ◽  
Auto Correlation ◽  
Current Correlation ◽  
Relevant Role ◽  
Opposite Chirality

We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through the states with opposite chirality plays a relevant role in transport, where one can observe Fano resonance with destructive interference. The quantum interference effect is quantitatively described by local bond currents and their correlation functions. Fluctuations of the transport current are characterized by the Lesovik formula for the shot noise, which is a composition of the bond current correlation functions. In the presence of circular currents, the cross-correlation of the bond currents can be very large, but it is negative and compensates for the large positive auto-correlation functions.

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